You set it up for me to ask, so here goes:
How in the hell (pun intended) is God even something you can study?
People claim God works in mysterious ways, which logically follows that there is no direct way to observe God's work.
But if we were able to observe, study and record what God does, then God is not as mysterious or almighty as claimed.
Depends of your faith. The Catholic Church, as far as it claims and its adherents believe, is the original Church founded by Jesus Christ and his apostles after his resurrection. The story of Jesus Christ's actions was recorded in several documents, 4 of them were kept later on as they were the most commonly used by the different communities, had the most details and accuracy, and supported the most the doctrine that the Church had since it was founded and kept untouched. It is in this story (the gospel) that Jesus teaches, as a Jewish prophet, what God himself wants from us as well as his own divine nature, and his role as the Messiah of Judaism was confirmed by his resurrection (as only God can revive life, so if Jesus had God's support, he certainly must have told the truth about God).
So, the Church is founded as a cult to Jesus, with its original dogma unchanged. From the beginning various documents are used and shared by different Christian communities and the Catholic Bible as we know it is put together about 300 years after the Catholic/Orthodox Church is founded (the split happened 1,000 years later and different Orthodox Churches have their own Bible canons). This includes Jewish scripture as well as Christian scripture. By analyzing what is believed by the religion to tell us about God, we can know how God is like and describe him in the best way possible (which led to the Trinity, which is a contradiction and difficult to reason with on purpose). That does not change - the Church has already established what we do and what we don't know about what God wants and what he does with us, and God bringing about natural disaster is not part of it.
See Luke 13:1-9. Jesus specifically talks about how certain people who died because of an accident were not worse sinners or more guilty than anyone else. They did not trigger the wrath of God and get punished for it. Death just happens and we are pressed to repent before it can happen to us.
Now, the problem is that I only talked about the Catholic interpretation. We know how many different denominations of Christianity there are, and when you take other Abrahamic religions (with their own denominations) into account it becomes a nightmare. When you take other non-Abrahamic religions into account, there's no trying to even discuss it, as they'll all have something different to say about natural disasters. But that's how it is - each denomination of Christianity has their own doctrine, and the answer to some questions will be
but those won't be the same questions for every denomination.
Also I'm not a Catholic so I'll gladly be corrected if I said something wrong. But death happens not because God wants it to but because we brought it upon ourselves with original sin, and God does not punish those he deems unworthy or cause suffering en masse because "mysterious ways lol" but he does allow the world to have both life and death; both happiness and suffering, so that no one will be advantaged over another and we can all make the right or the wrong choices, both toward ourselves and toward others.